Theorems · Theorem · field theory
Polynomial.aeval_X_left_apply
∀ {R : Type u} [inst : CommSemiring R] (p : Polynomial R), (Polynomial.aeval Polynomial.X) p = p- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.Xstatement · cited by 1,639
- Polynomial.aevalstatement · cited by 615
- AlgHom.congr_funproof · cited by 40
- Polynomial.aeval_X_leftproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.valuation_eq_valuation_X_pow_natDegree_of_one_lt_valuation_Xproof · cited by 1
- KaehlerDifferential.polynomial_D_applyproof · cited by 0